What is the 2819th prime number?
The 2819th prime number is 25601. The next prime is 25603 (a gap of 2) and the one before is 25589.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2819th one is 25601.
- 2
25601 is prime because no prime up to ā25601 ā 160.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2819th prime is close to 2819 Ć ln(2819) ā 22395, and here it is 25601.
- 4
25601 is a twin prime: 25601 and 25603 are both prime.
Primes around the 2819th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2816 | 25579 | 2 |
| 2817 | 25583 | 4 |
| 2818 | 25589 | 6 |
| 2819 | 25601 | 12 |
| 2820 | 25603 | 2 |
| 2821 | 25609 | 6 |
| 2822 | 25621 | 12 |
Questions
What is the 2819th prime number?
25601.
Which prime number is 25601?
25601 is the 2819th prime number.
What is the sum of the first 2819 primes?
33,848,078.